Syllogism — Players, educated, and cultured: Statements: (a) All players are educated. (b) All educated are cultured. Inferences: I. All players are cultured. II. All cultured persons are players.
Verbal Reasoning
Syllogism
Difficulty: Easy
Choose an option
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AOnly inference I follows
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BOnly inference II follows
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CBoth inference I and II follows
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DNeither inference I nor II follows
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ENone of these
Answer
Correct Answer: Only inference I follows
Explanation
Introduction / Context:This is a direct application of transitivity in set inclusion.
Given Data / Assumptions:
- Player ⊆ Educated.
- Educated ⊆ Cultured.
Concept / Approach:Chain the inclusions to get Player ⊆ Cultured. The converse Cultured ⊆ Player is not implied.
Step-by-Step:1) Player ⊆ Educated and Educated ⊆ Cultured.2) Hence Player ⊆ Cultured (I follows).3) II incorrectly reverses the subset relation.
Verification:Model with many cultured non-players refutes II while preserving the premises.
Final Answer:Only inference I follows.